The goal of the Entropy and the Quantum schools has been to introduce
young researchers to some of the exciting current topics in mathematical
physics. These topics often involve analytic techniques that can easily
be understood with a dose of physical intuition.

In March of 2010, four beautiful lectures were delivered on the
campus of the University of Arizona. They included Isoperimetric
Inequalities for Eigenvalues of the Laplacian by Rafael Benguria,
Universality of Wigner Random Matrices by Laszlo Erdős, Kinetic
Theory and the Kac Master Equation by Michael Loss, and Localization
in Disordered Media by Günter Stolz. Additionally, there were
talks by other senior scientists and a number of interesting
presentations by junior participants. The range of the subjects and
the enthusiasm of the young speakers are testimony to the great
vitality of this field, and the lecture notes in this volume reflect
well the diversity of this school.

Readership

Graduate students and research mathematicians interested in
mathematical physics and analysis.